Mathematics

4 - The Man With The Golden Thigh: Pythagoras

Posted on 27 December 2010

Peter discusses the Pre-Socratic philosopher Pythagoras, as well as Pythagoreanism and the role of mathematics in ancient philosophy.

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8 - You Can't Get There From Here: Zeno and Melissus

Posted on 16 January 2011

The paradoxes of Zeno and the arguments of Melissus develop the ideas of Parmenides and defend his Eleatic monism.

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51- The Next Generation: the Followers of Plato and Aristotle

Posted on 23 October 2011

Peter wraps up Plato and Aristotle by discussing their followers: Speusippus and Xenocrates (the “Old Academy”), and the polymath Theophrastus.

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78 - Middle Men: the Platonic Revival

Posted on 29 April 2012

Pioneering thinkers Eudorus, Alcinous, and Numenius fuse Pythagoreanism with Platonism and pave the way for Plotinus.

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86 - Serafina Cuomo on Ancient Mathematics

Posted on 24 June 2012

How did the mathematics of figures like Euclid and Archimides relate to ancient philosophy? Peter finds out in an interview with Serafina Cuomo.

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96 - Dominic O'Meara on Neoplatonism

Posted on 30 September 2012

Dominic O'Meara speaks with Peter about political philosophy and mathematics in Neoplatonism.

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279. Quadrivial Pursuits: the Oxford Calculators

Posted on 4 June 2017

Bradwardine and other thinkers based at Oxford make breakthroughs in physics by applying mathematics to motion.

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286. On the Money: Medieval Economic Theory

Posted on 7 October 2017

Changing ideas about money, just price, and usury, up to the time of Buridan, Oresme, and Gregory of Rimaini.

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322. Do the Math: Science in the Palaiologan Renaissance

Posted on 7 April 2019

Mathematics and the sciences in Byzantium, focusing on scholars of the Palaiologan period like Blemmydes and Metochites.

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361. The Measure of All Things: Renaissance Mathematics and Art

Posted on 6 December 2020

The humanist study of Pythagoras, Archimedes and other ancient mathematicians goes hand in hand with the use of mathematics in painting and architecture.

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363. Man of Discoveries: Girolamo Cardano

Posted on 3 January 2021

The polymath Girolamo Cardano explores medicine, mathematics, philosophy of mind, and the interpretation of dreams.

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374. Opposites Attract: Nicholas of Cusa

Posted on 6 June 2021

The radical negative theology of Nicholas of Cusa, and his hope of establishing peace between the religions of the world.

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375. Paul Richard Blum on Nicholas of Cusa

Posted on 20 June 2021

Learned ignorance, coincidence of opposites and religious peace: Paul Richard Blum discusses the central ideas of Nicholas Cusanus.

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393. The World Doesn’t Revolve Around You: Copernicus

Posted on 27 March 2022

How revolutionary was the Copernican Revolution?

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395. Music of the Spheres: Johannes Kepler

Posted on 24 April 2022

Kepler combines Brahe's observations, Copernicus' astronomy, and Platonist metaphysics.

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404. Robert Goulding on Peter Ramus

Posted on 25 September 2022

A chat with Ramus expert Robert Goulding on the role of mathematics in Ramist philosophy, not to mention some juicy academic quarrels in Paris.

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